Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong Localizations for quiver Hecke algebras. II. (English) Zbl 07785233 Proc. Lond. Math. Soc. (3) 127, No. 4, 1134-1184 (2023). MSC: 18M05 16D90 81R10 PDFBibTeX XMLCite \textit{M. Kashiwara} et al., Proc. Lond. Math. Soc. (3) 127, No. 4, 1134--1184 (2023; Zbl 07785233) Full Text: DOI arXiv
LePage, Elise; Webster, Ben Rational Cherednik algebras of \(G (\ell, p, n)\) from the Coulomb perspective. (English) Zbl 07759053 Adv. Math. 433, Article ID 109295, 49 p. (2023). Reviewer: Alexis Langlois-Rémillard (Bonn) MSC: 16G99 16S37 16W50 81T13 81T60 PDFBibTeX XMLCite \textit{E. LePage} and \textit{B. Webster}, Adv. Math. 433, Article ID 109295, 49 p. (2023; Zbl 07759053) Full Text: DOI arXiv
Crampé, Nicolas; Poulain d’Andecy, Loïc; Vinet, Luc; Zaimi, Meri Askey-Wilson braid algebra and centralizer of \(U_q (\mathfrak{sl}_2)\). (English) Zbl 07685694 Ann. Henri Poincaré 24, No. 6, 1897-1922 (2023). MSC: 17B37 81R50 33C45 PDFBibTeX XMLCite \textit{N. Crampé} et al., Ann. Henri Poincaré 24, No. 6, 1897--1922 (2023; Zbl 07685694) Full Text: DOI arXiv
Libedinsky, Nicolas IntroSurvey of representation theory. (English) Zbl 07813082 J. Indian Inst. Sci. 102, No. 3, 907-946 (2022). MSC: 81-XX 20-XX PDFBibTeX XMLCite \textit{N. Libedinsky}, J. Indian Inst. Sci. 102, No. 3, 907--946 (2022; Zbl 07813082) Full Text: DOI arXiv
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong Cluster algebra structures on module categories over quantum affine algebras. (English) Zbl 07730902 Proc. Lond. Math. Soc. (3) 124, No. 3, 301-372 (2022). MSC: 81R50 18D15 17B67 13C05 13F60 13D15 16G20 20B05 PDFBibTeX XMLCite \textit{M. Kashiwara} et al., Proc. Lond. Math. Soc. (3) 124, No. 3, 301--372 (2022; Zbl 07730902) Full Text: DOI arXiv
Kaidi, Justin; Martone, Mario; Zafrir, Gabi Exceptional moduli spaces for exceptional \(\mathcal{N} = 3\) theories. (English) Zbl 1522.81638 J. High Energy Phys. 2022, No. 8, Paper No. 264, 51 p. (2022). MSC: 81T60 81T40 81T30 83E30 81T13 PDFBibTeX XMLCite \textit{J. Kaidi} et al., J. High Energy Phys. 2022, No. 8, Paper No. 264, 51 p. (2022; Zbl 1522.81638) Full Text: DOI arXiv
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong PBW theoretic approach to the module category of quantum affine algebras. (English) Zbl 1511.17036 Proc. Japan Acad., Ser. A 97, No. 6, 33-37 (2021). MSC: 17B37 16G20 20C08 81R50 PDFBibTeX XMLCite \textit{M. Kashiwara} et al., Proc. Japan Acad., Ser. A 97, No. 6, 33--37 (2021; Zbl 1511.17036) Full Text: DOI arXiv
Beliakova, Anna; Habiro, Kazuo A categorification of the ribbon element in quantum \(sl(2)\). (English) Zbl 1478.18024 Acta Math. Vietnam. 46, No. 2, 225-264 (2021). Reviewer: Pedro Vaz (Louvain-la-Neuve) MSC: 18N25 17B37 81R50 PDFBibTeX XMLCite \textit{A. Beliakova} and \textit{K. Habiro}, Acta Math. Vietnam. 46, No. 2, 225--264 (2021; Zbl 1478.18024) Full Text: DOI arXiv
Dimofte, Tudor; Garner, Niklas; Geracie, Michael; Hilburn, Justin Mirror symmetry and line operators. (English) Zbl 1505.81070 J. High Energy Phys. 2020, No. 2, Paper No. 75, 150 p. (2020). MSC: 81T60 14J33 16T20 81T45 PDFBibTeX XMLCite \textit{T. Dimofte} et al., J. High Energy Phys. 2020, No. 2, Paper No. 75, 150 p. (2020; Zbl 1505.81070) Full Text: DOI arXiv
Caorsi, Matteo; Cecotti, Sergio Homological classification of 4d \(\mathcal{N} = 2\) QFT. Rank-1 revisited. (English) Zbl 1427.81069 J. High Energy Phys. 2019, No. 10, Paper No. 13, 92 p. (2019). MSC: 81T10 81T60 14J32 PDFBibTeX XMLCite \textit{M. Caorsi} and \textit{S. Cecotti}, J. High Energy Phys. 2019, No. 10, Paper No. 13, 92 p. (2019; Zbl 1427.81069) Full Text: DOI arXiv
Ariki, Susumu; Park, Euiyong; Speyer, Liron Specht modules for quiver Hecke algebras of type \(C\). (English) Zbl 1448.16016 Publ. Res. Inst. Math. Sci. 55, No. 3, 565-626 (2019). MSC: 16G20 20C08 05E10 81R10 PDFBibTeX XMLCite \textit{S. Ariki} et al., Publ. Res. Inst. Math. Sci. 55, No. 3, 565--626 (2019; Zbl 1448.16016) Full Text: DOI arXiv
Kashiwara, Masaki; Kim, Myungho Laurent phenomenon and simple modules of quiver Hecke algebras. (English) Zbl 1505.13034 Compos. Math. 155, No. 12, 2263-2295 (2019). MSC: 13F60 81R50 16G20 17B37 20C08 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{M. Kim}, Compos. Math. 155, No. 12, 2263--2295 (2019; Zbl 1505.13034) Full Text: DOI arXiv
Qi, You A categorification of a quantum Frobenius map. (English) Zbl 1435.81101 J. Inst. Math. Jussieu 18, No. 5, 899-939 (2019). Reviewer: Jan E. Grabowski (Lancaster) MSC: 81R50 17B37 16E20 16E35 13A35 16E30 PDFBibTeX XMLCite \textit{Y. Qi}, J. Inst. Math. Jussieu 18, No. 5, 899--939 (2019; Zbl 1435.81101) Full Text: DOI arXiv
Oh, Se-Jin; Suh, Uhi Rinn Combinatorial Auslander-Reiten quivers and reduced expressions. (English) Zbl 1453.16014 J. Korean Math. Soc. 56, No. 2, 353-385 (2019). MSC: 16G70 05E10 16T30 81R50 17B37 PDFBibTeX XMLCite \textit{S.-J. Oh} and \textit{U. R. Suh}, J. Korean Math. Soc. 56, No. 2, 353--385 (2019; Zbl 1453.16014) Full Text: DOI arXiv
Oh, Se-jin; Scrimshaw, Travis Categorical relations between Langlands dual quantum affine algebras: exceptional cases. (English) Zbl 1439.81063 Commun. Math. Phys. 368, No. 1, 295-367 (2019); correction ibid. 371, No. 2, 833-837 (2019). Reviewer: Daniel Bulacu (Bucharest) MSC: 81R50 17B81 20C08 16G20 PDFBibTeX XMLCite \textit{S.-j. Oh} and \textit{T. Scrimshaw}, Commun. Math. Phys. 368, No. 1, 295--367 (2019; Zbl 1439.81063) Full Text: DOI arXiv
Queffelec, Hoel; Sartori, Antonio Mixed quantum skew Howe duality and link invariants of type \(A\). (English) Zbl 1469.57013 J. Pure Appl. Algebra 223, No. 7, 2733-2779 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57K16 17B35 17B37 20G43 81R50 PDFBibTeX XMLCite \textit{H. Queffelec} and \textit{A. Sartori}, J. Pure Appl. Algebra 223, No. 7, 2733--2779 (2019; Zbl 1469.57013) Full Text: DOI arXiv
Coulembier, Kevin; Zhang, Ruibin Borelic pairs for stratified algebras. (English) Zbl 1461.16012 Adv. Math. 345, 53-115 (2019). MSC: 16G10 17B10 20C05 81R05 PDFBibTeX XMLCite \textit{K. Coulembier} and \textit{R. Zhang}, Adv. Math. 345, 53--115 (2019; Zbl 1461.16012) Full Text: DOI arXiv
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). (English) Zbl 1472.17054 Proc. Lond. Math. Soc. (3) 118, No. 1, 43-77 (2019). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 81R50 16T25 PDFBibTeX XMLCite \textit{M. Kashiwara} et al., Proc. Lond. Math. Soc. (3) 118, No. 1, 43--77 (2019; Zbl 1472.17054) Full Text: DOI arXiv
Naisse, Grégoire; Vaz, Pedro On 2-Verma modules for quantum \({\mathfrak {sl}_{2}}\). (English) Zbl 1452.17020 Sel. Math., New Ser. 24, No. 4, 3763-3821 (2018). MSC: 17B37 17B10 20C08 20G42 81R50 PDFBibTeX XMLCite \textit{G. Naisse} and \textit{P. Vaz}, Sel. Math., New Ser. 24, No. 4, 3763--3821 (2018; Zbl 1452.17020) Full Text: DOI arXiv
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin Monoidal categorification of cluster algebras. (English) Zbl 1460.13039 J. Am. Math. Soc. 31, No. 2, 349-426 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 13F60 16Gxx 17B37 18M05 81R50 PDFBibTeX XMLCite \textit{S.-J. Kang} et al., J. Am. Math. Soc. 31, No. 2, 349--426 (2018; Zbl 1460.13039) Full Text: DOI arXiv
Morton, Jeffrey C.; Vicary, Jamie The categorified Heisenberg algebra. I: A combinatorial representation. (English) Zbl 1468.18018 J. Pure Appl. Algebra 222, No. 3, 703-745 (2018). MSC: 18M05 81R10 18B40 PDFBibTeX XMLCite \textit{J. C. Morton} and \textit{J. Vicary}, J. Pure Appl. Algebra 222, No. 3, 703--745 (2018; Zbl 1468.18018) Full Text: DOI arXiv Link
Lai, Tri; Musiker, Gregg Beyond Aztec castles: toric cascades in the \(dP_3\) quiver. (English) Zbl 1401.13066 Commun. Math. Phys. 356, No. 3, 823-881 (2017). MSC: 13F60 14D21 16G20 81T30 PDFBibTeX XMLCite \textit{T. Lai} and \textit{G. Musiker}, Commun. Math. Phys. 356, No. 3, 823--881 (2017; Zbl 1401.13066) Full Text: DOI arXiv
Chun, Sungbong; Gukov, Sergei; Roggenkamp, Daniel Junctions of surface operators and categorification of quantum groups. (English) Zbl 1362.81050 Beliakova, Anna (ed.) et al., Categorification in geometry, topology, and physics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2821-1/pbk; 978-1-4704-3691-9/ebook). Contemporary Mathematics 684, 87-146 (2017). MSC: 58B32 17B10 17B37 81R10 PDFBibTeX XMLCite \textit{S. Chun} et al., Contemp. Math. 684, 87--146 (2017; Zbl 1362.81050) Full Text: DOI arXiv Link
Evseev, Anton; Tsuchioka, Shunsuke On graded Cartan invariants of symmetric groups and Hecke algebras. (English) Zbl 1358.81127 Math. Z. 285, No. 1-2, 177-213 (2017). MSC: 20C08 20B30 17B37 81R50 PDFBibTeX XMLCite \textit{A. Evseev} and \textit{S. Tsuchioka}, Math. Z. 285, No. 1--2, 177--213 (2017; Zbl 1358.81127) Full Text: DOI arXiv Link
Bullimore, Mathew; Dimofte, Tudor; Gaiotto, Davide; Hilburn, Justin Boundaries, mirror symmetry, and symplectic duality in \(3d \mathcal{N}=4 \) gauge theory. (English) Zbl 1390.81309 J. High Energy Phys. 2016, No. 10, Paper No. 108, 195 p. (2016). MSC: 81T13 53D37 PDFBibTeX XMLCite \textit{M. Bullimore} et al., J. High Energy Phys. 2016, No. 10, Paper No. 108, 195 p. (2016; Zbl 1390.81309) Full Text: DOI arXiv
Szabo, Richard J. \(\mathcal{N} = 2\) gauge theories, instanton moduli spaces and geometric representation theory. (English) Zbl 1348.81328 J. Geom. Phys. 109, 83-121 (2016). MSC: 81T13 81T60 14D21 81T40 14N35 PDFBibTeX XMLCite \textit{R. J. Szabo}, J. Geom. Phys. 109, 83--121 (2016; Zbl 1348.81328) Full Text: DOI arXiv
Ariki, Susumu; Park, Euiyong Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\). (English) Zbl 1381.16011 Osaka J. Math. 53, No. 2, 463-488 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16G10 17B67 81R10 PDFBibTeX XMLCite \textit{S. Ariki} and \textit{E. Park}, Osaka J. Math. 53, No. 2, 463--488 (2016; Zbl 1381.16011) Full Text: arXiv Euclid
Cecotti, Sergio; Del Zotto, Michele Higher \(S\)-dualities and Shephard-Todd groups. (English) Zbl 1388.81034 J. High Energy Phys. 2015, No. 9, Paper No. 35, 41 p. (2015). MSC: 81P40 PDFBibTeX XMLCite \textit{S. Cecotti} and \textit{M. Del Zotto}, J. High Energy Phys. 2015, No. 9, Paper No. 35, 41 p. (2015; Zbl 1388.81034) Full Text: DOI arXiv
Aspinwall, Paul S. Exoflops in two dimensions. (English) Zbl 1388.81472 J. High Energy Phys. 2015, No. 7, Paper No. 104, 20 p. (2015). MSC: 81T30 PDFBibTeX XMLCite \textit{P. S. Aspinwall}, J. High Energy Phys. 2015, No. 7, Paper No. 104, 20 p. (2015; Zbl 1388.81472) Full Text: DOI arXiv
Lauda, Aaron D.; Queffelec, Hoel; Rose, David E. V. Khovanov homology is a skew Howe 2-representation of categorified quantum \(\mathfrak{sl}_m\). (English) Zbl 1330.81128 Algebr. Geom. Topol. 15, No. 5, 2517-2608 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B37 17B10 18G60 57M27 81R50 PDFBibTeX XMLCite \textit{A. D. Lauda} et al., Algebr. Geom. Topol. 15, No. 5, 2517--2608 (2015; Zbl 1330.81128) Full Text: DOI arXiv
Beliakova, Anna; Guliyev, Zaur; Habiro, Kazuo; Lauda, Aaron D. Trace as an alternative decategorification functor. (English) Zbl 1331.81153 Acta Math. Vietnam. 39, No. 4, 425-480 (2014). Reviewer: Daniel Bulacu (Bucharest) MSC: 81R50 17B35 19A99 18D05 16E40 17B37 13D15 PDFBibTeX XMLCite \textit{A. Beliakova} et al., Acta Math. Vietnam. 39, No. 4, 425--480 (2014; Zbl 1331.81153) Full Text: DOI arXiv
Zamaere, Christine Berkesch; Griffeth, Stephen; Sam, Steven V. Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal. (English) Zbl 1294.81387 Commun. Math. Phys. 330, No. 1, 415-434 (2014). MSC: 81V70 33D52 22E70 81R15 PDFBibTeX XMLCite \textit{C. B. Zamaere} et al., Commun. Math. Phys. 330, No. 1, 415--434 (2014; Zbl 1294.81387) Full Text: DOI arXiv
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin Supercategorification of quantum Kac-Moody algebras. I, II. (English) Zbl 1304.17012 Adv. Math. 242, 116-162 (2013); 265, 169-240 (2014). Reviewer: Jan E. Grabowski (Lancaster) MSC: 17B37 05E10 16G99 17B67 17C70 81R10 PDFBibTeX XMLCite \textit{S.-J. Kang} et al., Adv. Math. 242, 116--162 (2013; Zbl 1304.17012) Full Text: DOI DOI arXiv
Khovanov, Mikhail; Lauda, Aaron D.; Mackaay, Marco; Stošić, Marko Extended graphical calculus for categorified quantum \(\mathrm{sl}(2)\). (English) Zbl 1292.17013 Mem. Am. Math. Soc. 1029, v, 87 p. (2012). Reviewer: Jan E. Grabowski (Lancaster) MSC: 17B37 81R50 18D05 16T20 05E05 PDFBibTeX XMLCite \textit{M. Khovanov} et al., Extended graphical calculus for categorified quantum \(\mathrm{sl}(2)\). Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1292.17013) Full Text: DOI arXiv
Kang, Seok-Jin; Kashiwara, Masaki Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. (English) Zbl 1280.17017 Invent. Math. 190, No. 3, 699-742 (2012). Reviewer: Jan Grabowski (Oxford) MSC: 17B37 05E10 16G99 81R10 PDFBibTeX XMLCite \textit{S.-J. Kang} and \textit{M. Kashiwara}, Invent. Math. 190, No. 3, 699--742 (2012; Zbl 1280.17017) Full Text: DOI arXiv
Kashiwara, Masaki Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras. (English) Zbl 1252.05220 Publ. Res. Inst. Math. Sci. 48, No. 3, 501-524 (2012). MSC: 05E10 16G99 81R10 PDFBibTeX XMLCite \textit{M. Kashiwara}, Publ. Res. Inst. Math. Sci. 48, No. 3, 501--524 (2012; Zbl 1252.05220) Full Text: DOI arXiv
Shan, Peng Graded decomposition matrices of \(v\)-Schur algebras via Jantzen filtration. (English) Zbl 1284.20050 Represent. Theory 16, 212-269 (2012). MSC: 20G05 20G43 20C20 17B37 81R50 PDFBibTeX XMLCite \textit{P. Shan}, Represent. Theory 16, 212--269 (2012; Zbl 1284.20050) Full Text: DOI arXiv
Feigin, Misha Generalized Calogero-Moser systems from rational Cherednik algebras. (English) Zbl 1243.81089 Sel. Math., New Ser. 18, No. 1, 253-281 (2012). Reviewer: Willard Miller jun. (Minneapolis) MSC: 81R12 70E40 16G99 70F10 37J35 17B22 20F55 PDFBibTeX XMLCite \textit{M. Feigin}, Sel. Math., New Ser. 18, No. 1, 253--281 (2012; Zbl 1243.81089) Full Text: DOI arXiv
Garavuso, Richard S.; Katzarkov, Ludmil; Kreuzer, Maximilian; Noll, Alexander Super Landau-Ginzburg mirrors and algebraic cycles. (English) Zbl 1301.81212 J. High Energy Phys. 2011, No. 3, Paper No. 017, 28 p. (2011). MSC: 81T30 81T40 81T13 46S60 57R20 PDFBibTeX XMLCite \textit{R. S. Garavuso} et al., J. High Energy Phys. 2011, No. 3, Paper No. 017, 28 p. (2011; Zbl 1301.81212) Full Text: DOI arXiv
Khovanov, Mikhail Categorifications from planar diagrammatics. (English) Zbl 1226.81094 Jpn. J. Math. (3) 5, No. 2, 153-181 (2010). MSC: 81R50 17B37 06D20 PDFBibTeX XMLCite \textit{M. Khovanov}, Jpn. J. Math. (3) 5, No. 2, 153--181 (2010; Zbl 1226.81094) Full Text: DOI arXiv
Khovanov, Mikhail; Lauda, Aaron D. A categorification of quantum \(\text{sl}(n)\). (English) Zbl 1206.17015 Quantum Topol. 1, No. 1, 1-92 (2010); erratum ibid. 2, No. 1, 97-99 (2011). Reviewer: Alexei Davydov (Bonn) MSC: 17B37 81R50 14M15 16T20 PDFBibTeX XMLCite \textit{M. Khovanov} and \textit{A. D. Lauda}, Quantum Topol. 1, No. 1, 1--92 (2010; Zbl 1206.17015) Full Text: DOI arXiv
Kontsevich, M.; Soibelman, Y. Notes on \(A_\infty \)-algebras, \(A_\infty \)-categories and non-commutative geometry. (English) Zbl 1202.81120 Kapustin, Anton (ed.) et al., Homological mirror symmetry. New developments and perspectives. Berlin: Springer (ISBN 978-3-540-68029-1/hbk). Lecture Notes in Physics 757, 153-219 (2009). Reviewer: Xin Tang (Fayetteville) MSC: 81R60 58B34 81R10 46S60 13D03 PDFBibTeX XMLCite \textit{M. Kontsevich} and \textit{Y. Soibelman}, Lect. Notes Phys. 757, 153--219 (2009; Zbl 1202.81120) Full Text: DOI arXiv
Dunkl, Charles F. Reflection groups in analysis and applications. (English) Zbl 1191.33006 Jpn. J. Math. (3) 3, No. 2, 215-246 (2008). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C52 20F55 33D80 42C05 81R12 05E05 PDFBibTeX XMLCite \textit{C. F. Dunkl}, Jpn. J. Math. (3) 3, No. 2, 215--246 (2008; Zbl 1191.33006) Full Text: DOI
Yvonne, Xavier A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras. (English) Zbl 1130.20009 J. Algebra 304, No. 1, 419-456 (2006). Reviewer: Hu Jun (Beijing) MSC: 20C08 17B37 20C30 81R50 PDFBibTeX XMLCite \textit{X. Yvonne}, J. Algebra 304, No. 1, 419--456 (2006; Zbl 1130.20009) Full Text: DOI arXiv